# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

100 results; page 1/4.

## Question 5401: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0026`; number: 5401
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0026/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0026.json)

## Question 5402: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0027`; number: 5402
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0027/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0027.json)

## Question 5403: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0028`; number: 5403
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0028/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0028.json)

## Question 5404: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0029`; number: 5404
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0029/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0029.json)

## Question 5405: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0030`; number: 5405
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0030/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0030.json)

## Question 5406: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0031`; number: 5406
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0031/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0031.json)

## Question 5407: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0032`; number: 5407
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0032/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0032.json)

## Question 5408: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0033`; number: 5408
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0033/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0033.json)

## Question 5409: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0034`; number: 5409
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0034/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0034.json)

## Question 5410: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0035`; number: 5410
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0035/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0035.json)

## Question 5411: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0036`; number: 5411
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0036/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0036.json)

## Question 5412: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0037`; number: 5412
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0037/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0037.json)

## Question 5413: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0038`; number: 5413
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0038/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0038.json)

## Question 5414: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0039`; number: 5414
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0039/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0039.json)

## Question 5415: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0040`; number: 5415
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0040/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0040.json)

## Question 5416: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0041`; number: 5416
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0041/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0041.json)

## Question 5417: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0042`; number: 5417
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0042/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0042.json)

## Question 5418: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0043`; number: 5418
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0043/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0043.json)

## Question 5419: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0044`; number: 5419
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0044/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0044.json)

## Question 5420: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0045`; number: 5420
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0045/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0045.json)

## Question 5421: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0046`; number: 5421
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0046/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0046.json)

## Question 5422: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0047`; number: 5422
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0047/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0047.json)

## Question 5423: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0048`; number: 5423
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0048/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0048.json)

## Question 5424: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0049`; number: 5424
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0049/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0049.json)

## Question 5425: Inclusive Finite Recurrence Prefix

- ID: `q-20261008-advance-20261012-r01-mathematical-induction-0050`; number: 5425
- Processing: second_context_reviewed
- MKO: [mko-mathematical-induction](/en/mko/mko-mathematical-induction/)
- Family: [qf-density12-induction-affine-recursive-prefix](/en/explore/?family=qf-density12-induction-affine-recursive-prefix)
- Batch: [batch-20261008-advance-20261012-r01-mathematical-induction-foundations](/en/explore/?batch=batch-20261008-advance-20261012-r01-mathematical-induction-foundations)
- [Derivation](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0050/) / [Markdown](/en/questions/q-20261008-advance-20261012-r01-mathematical-induction-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261008-advance-20261012-r01-mathematical-induction-0050.json)

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